Answer:
Option d
Step-by-step explanation:
-5(8x)
= -5×8×x
= -40x
Answered by GAUTHMATH
The exchange rate for converting US dollars to Chinese yuan is $6.11 how much is US$600 worth in China
Answer:
96 yuan
Step-by-step explanation:
We know how much one yuan is, so we can convert that to $1, Then multiply by 600. To find a USD, we need to divide the yuan by the dollar.
[tex]1/6.11=0.16[/tex]
Now we have a full dollar, and we need to multiply the yuan by 600 to get our 600 dollar value.
[tex]0.16*600=96[/tex]
This Venn diagram shows the pizza topping preferences for 9 students.
What elements are in A and B?
(Look at picture)
Answer:
I think the answer is C.
One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of the two would be -41. What are the two numbers
Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
What point lies on the line with point slope equation y-3=4(x+7)?
Answer:
(-7, 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify
y - 3 = 4(x + 7)
↓ Compare to Point-Slope Form
Point (-7, 3)
Slope m = 4
Simplify each of the following:
a) root25 + root50 - root24 + root49
b) root2(2root8 – 3root32 + 4roor50)
Show your work
Answer:
a)
√25 + √50 - √24 + √49 =5 + 5√2 - 2√6 + 7 = 12 + 5√2 - 2√6b)
√2(2√8 – 3√32 + 4√50) =2√16 - 3√64 + 4√100 = 2*4 - 3*8 + 4*10 = 8 - 24 + 40 = 24Answer:
a.) 12 + 5√2 - 2√6
b.) 24
Step-by-step explanation:
a) √25 + √50 - √24 + √49
√25 + √50 - √24 + √49Calculate the square root .
5 + √50 - √24 + 7Simplify the radical expression.
5 + 5√2 - 2√6 + 7Combine like terms.
5 + 7 + 5√2 - 2√6 12 + 5√2 - 2√6b.) √2 ( 2√8 - 3√32 + 4√50 )
√2 ( 2√8 - 3√32 + 4√50 )Simplify the radical expression.
√2 ( 4√2 - 3 × 2²√2 + 20√2)Evaluate the power.
√2 ( 4√2 - 3 × 4√2 + 20√2)Calculate the products.
√2 ( 4√2 -12√2 + 20√2)Combine like terms.
√2 × (4 - 12 + 20 )√2√2 × 12 √ 2Multiply.
2 × 12 24Given P(B | A)=0.75, P(A ∩ B)=0.15, P(B’)=0.7, find P(A ∪ B)
By definition of conditional probability,
P(B | A) = P(A ∩ B) / P(A)
==> P(A) = P(A ∩ B) / P(B | A) = 0.15/0.75 = 0.2
By definition of complement,
P(B') = 1 - P(B)
==> P(B) = 1 - P(B') = 1 - 0.7 = 0.3
Now by the inclusion/exlcusion principle, we have
P(A U B) = P(A) + P(B) - P(A ∩ B)
==> P(A U B) = 0.2 + 0.3 - 0.15 = 0.35
In circle D, which is a secant?
G
F
С
Н
Оооо
В 12 13
E
В
Answer:
GH
Step-by-step explanation:
A secant is a straight line which cuts the circle at 2 points
GH and FE both do this but FE is a special secant, that is the diameter
Then GH is a secant
Find linear models for each set of data. In what year will the two quantities be equal? x y 1970 67.8 1975 69.6 1980 70.5 1985 71.4 1990 72 1995 72.4 2000 74.1
Answer:
The graph solution is defined in the attachment file please find it.
Step-by-step explanation:
The first line equation:
[tex]\to Y= 0.22x + 67.5\\\\[/tex]
The second line equation:
[tex]\to Y= 0.15x + 75.507\\\\[/tex]
Intersection points:
[tex]\to (114.387,92.665)\\\\[/tex]
By adding the value of the first year (1970) into the x-value that is
[tex]\to 114.387+1970=2084.387[/tex]
Use trigonometric identities to solve each equation within the given domain.
4cos4(x) – 5cos2(x) + 1 = 0 from [0, 2π). PLEASE SHOW WORK!!!
Someone please help me I got those three red boxes incorrect so many times
Hi there!
-10-2 is equal to -12, not -8. This changes everything.
The fraction would be -12/16, which simplifies to -3/4.
I hope this helps!
Answer:
1st red box:
-10 - 2 = -12
2nd box above:
-3
3rd box:
4
SOMEONE PLEASEEE HELP MEEE OUTTTT!!!
Answer:
cos x= 11/19
x=54.62
Step-by-step explanation:
use cosine to find the angle
HELP PLEASE THANK YOU SO MUCH BRAIN FOR CORRECT
Answer:
A: Only (2,3)
Step-by-step explanation:
1. 3-3 = 5(2-2) WORKS! (2,3)
2. 2-3 = 5(3-2) Does not work :(
Answer:
Only A
Step-by-step explanation:
If you plug in x or y into the equation, only (2, 3) works
simplify 16/18+(-16)/27 answer immediately
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
8/27see this attachment ☝☝
Answer:
8/27
Step-by-step explanation:
Step 1: G_ _ gle
Answer: 8/27
which expression is in the simplest form of 4x^3+x^2+2(x^3-3x^2)
a. 4x^3-6x^2
b. 6x^3-6x^2
c. 2x^3-6x^2
d. 6x^3-5x^2
Answer:
It's D. 6x^3-5x^2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4x^3+x^2+2(x^3-3x^2)
4x^3 + x^2 + 2x^3 -6x^2 (Distributed 2 through the parenthesis)
= 6x^3 -5x^2
Answered by Gauthmath
find sine of angle of inclination to the axis is of line y=1/3x√3+3
Answer:
1/2.
Step-by-step explanation:
The inclination of the line to the x axis = 1/3*√3
= √3/3.
This is the tangent of the angle.
The sine of the angle =√3/hypotenuse.
The hypotenuse = √( √3)^2 + 3^2) (By the Pythagoras theorem)
= √12
= 2√3
Therefore the required sine is √3/ 2√3
= 1/2.
I think that's what you want!!
Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcase.
Answer:
I am currently taking a unit test and I just got this question. I believe it is the answer but I haven't submitted yet.
Step-by-step explanation:
The answer I chose seems to be the only logical answer.
In a group of 120 people, 90 play volleyball, 72 play football and 1o play neither of games. Find the number of people who play volleyball as well as football. Construct Venn-diagram to represent the given information.
Answer:
Step-by-step explanation:
10 people don’t play volleyball 120-10=110 110 play one or both games 90+72 =162 which is > 110 by 52
There are 52 people who play volleyball as well as football.
The Inclusion Exclusion PrincipleLet A, B be two different sets the,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B) .
What is Venn diagram?
"A Venn diagram is a diagram that uses overlapping shapes to illustrate the logical relationships between two or more sets."
For given situation:
Let set A: People playing volleyball
set B: People playing football
⇒ n(A) = 90
⇒ n(B) = 72
Given group is of 120 people.
10 people play neither of games.
This means, only 110 people play football or volleyball or both.
⇒ n(A ∪ B) = 110
Using the Inclusion Exclusion Principle,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B)
⇒ 110 = 90 + 72 - n (A ∩ B)
⇒ n(A ∩ B) = 52
Therefore, 52 people play volleyball as well as football.
Venn-diagram for given information is as shown below.
Learn more about Venn diagram here:
https://brainly.com/question/14344003
#SPJ2
"A simple random sample of 49 8th graders at a large suburban middle school indicated that 84% of them are involved with some type of after school activity. Find the margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity."'
Answer:
The margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity is of 0.1219.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A simple random sample of 49 8th graders at a large suburban middle school indicated that 84% of them are involved with some type of after school activity.
This means that [tex]n = 49, \pi = 0.84[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
Margin of error:
[tex]M = 2.327\sqrt{\frac{0.84*0.16}{49}} = 0.1219[/tex]
The margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity is of 0.1219.
HELP PLEASEEEEEEEEEEEEEEEEEEEE
Answer:
3 9/50
Step-by-step explanation:
3.18 is 3 18/100
Simplifying it further you get: 3 9/50
Answer:
3 9/50OAmalOHopeO
what is the length of de
Answer:
x = 6
Step-by-step explanation:
Since <F = <F, this shows that the triangles are similar. Therefore:
XZ/DF = XY/DE
12/8 = 9/X
Cross multiply
12X = 9*8
12X = 72
X = 72/12
X = 6
Hence the value of x is 6
plzzz helpppp due today
Answer:
3 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hyp
sin 60 = ZY / 6
6 sin 60 = ZY
6 (sqrt(3) /2) = ZY
3 sqrt(3) = ZY
I got H / 75 but I might be wrong any confirmation
Answer:
30
Step-by-step explanation:
Angle PNM = 180-105
= 75
IF PM = PN then
<PNM = <PMN = 75
<PMN + <PNM + <P = 180 since they form a triangle
75 + 75 + x = 180
150+x = 180
x = 180-150
x = 30
Answer:
<MPN = 40°Step-by-step explanation:
180° - <PNQ = <PNM ( Angles in a straight line )
180° - 105° = 75°
<PMN = < PNM = 75°
<PMN + <PNM + <MPN = 180°
75 ° + 75° + <MPN = 180°
<MPN = 180° - 150°
<MPN = 30°
If ax + x^2 = y^2 -at , what is the value or x and y?
A) y-x
B) x-y
C) x+y
D) x^2 + y^2 / x-y
Answer:
dx. = yex ⇒ dy y. ∫. = x ... 2 xx dx. ∫. , i.e. yx = 4. 4 x c. +. Hence y = 3. 4 x c x.
helppppp the question is on the image.
Answer:
12,6,4,3
Step-by-step explanation:
factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
if you take 12,6,4,3 and add them together they equal 25 which is greater than 21 but less than 30
Answer:
3, 4, 9, and 12
3, 6, 6, and 12
Step-by-step explanation:
First, list out the factors of 36.
1, 2, 3, 4, 6, 9, 12, 18, and 36
The combinations of 4 numbers could be:
9 and 4, and 12 and 3 = 28
6 and 6, and 12 and 3 = 27
The sum of a number and 5 decreased by twice the number.
Answer:
-x+5
hope this help!!!
Step-by-step explanation:
How do you solve this?
rs/a = k for r
Answer:
Step-by-step explanation:
In [tex]\frac{rs}{a}=k[/tex] begin by multiplying both sides by a to get
rs = ak and divide away the s to get
[tex]r=\frac{ak}{s}[/tex]
(8) The average daily temperatures in July of some cities in Texas are shown in the table. Which
of the following fiets the cities from greatest temperature to least temperatura
City
Average Daily
Temperature
Austin
84.52F
Dallas
85.9°F
San Antonio
85 F
Fort Worth
85.31°F
a. Dallas, Fort Worth, San Antonio, Austin
b. Austin, Dallas, San Antonio, Fort Worth
c. Austin, San Antonio, Fort Worth, Dallas
d. Dallas, San Antonio, Fort Worth, Austin
Answer:
A.
Step-by-step explanation:
85.9 > 85.31 > 85 > 84.52
Dallas, Fort Worth, San Antonio, Austin
The Area of a room (rectangle) is 320 square feet. If the length is 20 in, what is the perimeter?
Answer:
72 sq ft
Step-by-step explanation:
A = l × w
320 = 20w
------ ------
20 20
16 = w
16 + 16 + 20 + 20
^ ^
32 + 20 + 20
^ ^
32 + 40
72
The perimeter is 72 square feet.
Hope this helped.
can i get the answer quick
Answer:
p^3 - 7p^2q^2 + 2pq
Step-by-step explanation:
3pq +5p^2q^2 + p^3 = p^3 + 5p^2q^2 + 3pq
Let the number be x.
x + p^3 + 5p^2q^2 + 3pq + p^3 - pq
= 3p^3 - 2p^2q^2 + 4pq
x + p^3 + p^3 + 5p^2q^2 + 3pq - pq
= 3p^3 - 2p^2q^2 + 4pq
x + 2p^3 + 5p^2a^2 + 2pq
= 3p^3 - 2p^2q^2 + 4pq
x
= 3p^3 - 2p^2q^2 + 4pq - (2p^3 + 5p^2q^2 + 2pq)
= 3p^3 - 2p^2q^2 + 4pq - 2p^3 - 5p^2q^2 - 2pq
= 3p^3 - 2p^3 - 2p^2q^2 - 5p^2q^2 + 4pq - 2pq
= p^3 - 7p^2q^2 + 2pq
Therefore,
p^3 - 7p^2q^2 + 2pq should be added.
Write the slope of the line plz help me show the work
Answer:
2/5
Step-by-step explanation:
slope = rise/run
rise is a vertical distance
run is a horizontal distance
We need to find the rise and run between two points on the line.
Look at the point where the line crosses the y-axis. We need to go to another point on the line by going only vertically and horizontally.
Now start at that point, go 2 units up. The rise = 2. Now turn right and go 5 units to the right. The run = 5. You got to another point on the line.
rise = 2
run = 5
slope = rise/run
slope = 2/5
See the picture below.
